Tunable 2-dimensional/3-dimensional electron gases by submonolayer La doping of SrTiO_{3}

First-principles calculation was used to study the structural and electronic features of the low dimensional oxide structure, SrTiO_{3}/Sr_{1-x}La_{x}TiO_{3} (x=0.25) superlattices, constructed by submonolayer low dimensional La doping into SrTiO_{3}. We demonstrate a dimensionality crossover from three-dimensional to two-dimensional (3D \to 2D) electronic behavior in the system. Two types of carriers, one confined to 2D and the other extended, exhibit distinct tunable (3D \to 2D) transport characteristics that will enable the study of many properties (e.g., superconductivity) through this change in dimensionality.